References of "Geuzaine, Christophe"
     in
Bookmark and Share    
Full Text
Peer Reviewed
See detailA Finite Element Subproblem Method for Position Change Conductor Systems
Dular, Patrick ULg; Krähenbühl, Laurent; Vazquez Sabariego, Ruth ULg et al

in IEEE Transactions on Magnetics (2012), 48(2), 403-406

Analyses of magnetic systems with position changes of both massive and stranded conductors are performed via a finite element sub- problem method. A complete problem is split into subproblems associated ... [more ▼]

Analyses of magnetic systems with position changes of both massive and stranded conductors are performed via a finite element sub- problem method. A complete problem is split into subproblems associated with each conductor and the magnetic regions. Each complete solution is then expressed as the sum of subproblem solutions supported by different meshes. The subproblem procedure simplifies both meshing and solving processes, with no need of remeshing, and accurately quantifies the effect of the position changes of conductors on both local fields, e.g., skin and proximity effects, and global quantities, e.g., inductances and forces. Applications covering parameterized analyses on conductor positions to moving conductor systems can benefit from the developed approach. [less ▲]

Detailed reference viewed: 42 (10 ULg)
Full Text
Peer Reviewed
See detailTime-domain surface impedance boundary conditions enhanced by coarse volume finite-element discretisation
Vazquez Sabariego, Ruth ULg; Geuzaine, Christophe ULg; Dular, Patrick ULg et al

in IEEE Transactions on Magnetics (2012), 48(2), 631-634

In computational magnetodynamics, surface impedance boundary conditions allow to accurately account for high-frequency flux components while removing the massive conducting regions from the computation ... [more ▼]

In computational magnetodynamics, surface impedance boundary conditions allow to accurately account for high-frequency flux components while removing the massive conducting regions from the computation domain. The time-domain approach previously proposed by the authors relies on the spatial discretisation of a 1-D eddy-current problem by means of dedicated basis functions derived from the analytical frequency-domain solution. In this paper, these time-domain impedance conditions are combined with a coarse volume finite-element discretisation of the massive conductors to capture slowly varying flux components. The accuracy of the hybrid approach can further be improved by introducing a fictitious frequency-dependent conductivity. The method is illustrated and validated by means of 1-D and 2-D test cases in the frequency and time domain. [less ▲]

Detailed reference viewed: 47 (8 ULg)
See detailImproved Domain Decomposition Method for the Helmholtz Equation"
Geuzaine, Christophe ULg; Antoine, X.; Boubendir, Y. et al

Scientific conference (2012, January 23)

Detailed reference viewed: 42 (2 ULg)
Full Text
Peer Reviewed
See detailMagnetic Model Refinement via a Coupling of Finite Element Subproblems
Dular, Patrick ULg; Vazquez Sabariego, Ruth; Krähenbühl, Laurent et al

in Scientific Computing in Electrical Engineering (2012)

Model refinements of magnetic circuits are performed via a subdomain finite element method. A complete problem is split into subproblems with overlap- ping meshes, to allow a progression from source to ... [more ▼]

Model refinements of magnetic circuits are performed via a subdomain finite element method. A complete problem is split into subproblems with overlap- ping meshes, to allow a progression from source to reaction fields, ideal to real flux tubes, 1-D to 3-D models, perfect to real materials, statics to dynamics, with any coupling of these changes. Its solution is then the sum of the subproblem solutions. The procedure simplifies both meshing and solving processes, and quantifies the gain given by each refinement on both local fields and global quantities. [less ▲]

Detailed reference viewed: 11 (0 ULg)
Full Text
Peer Reviewed
See detailQuality open source mesh generation for cardiovascular flow simulations
Marchandise, E.; Crosetto, P.; Geuzaine, Christophe ULg et al

in Ambrosi, D.; Quarteroni, A.; Rozza, G. (Eds.) Modelling Physiological Flow (2012)

Detailed reference viewed: 106 (3 ULg)
Full Text
Peer Reviewed
See detailComputation of induced fields into the human body by dual Finite Element formulations
Scorretti, R.; Vazquez Sabariego, Ruth ULg; Morel, L. et al

in IEEE Transactions on Magnetics (2012), 48(2), 783-786

Detailed reference viewed: 24 (5 ULg)
Full Text
Peer Reviewed
See detailStochastic uncertainty quantification of eddy currents in the human body by polynomial chaos decomposition
Gaignaire, R.; Scorretti, R.; Vazquez Sabariego, Ruth ULg et al

in IEEE Transactions on Magnetics (2012), 48(2), 451-454

Detailed reference viewed: 21 (11 ULg)
Full Text
Peer Reviewed
See detailDiscontinuous Galerkin Method for Computing Induced Fields in Superconducting Materials
Kameni, A.; Lambrechts, J.; Remacle, J.-F. et al

in IEEE Transactions on Magnetics (2012), 48(2), 591-594

Detailed reference viewed: 96 (10 ULg)
Full Text
Peer Reviewed
See detailElectro-Mechano-Fluidic Modelling of Microsystems using Finite Elements
Rochus, V.; Gutschmidt, S.; Cardona, A. et al

in IEEE Transactions on Magnetics (2012), 48(2), 355-358

Detailed reference viewed: 19 (3 ULg)
Full Text
Peer Reviewed
See detailFinite Element Computational Homogenization of Nonlinear Multiscale Materials in Magnetostatics
Niyonzima, Innocent ULg; V Sabariego, Ruth ULg; Dular, Patrick ULg et al

in IEEE Transactions on Magnetics (2012), 48(2), 587-590

The increasing use of composite materials in the technological industry (automotive, aerospace, ...) requires the development of effective models that account for the complexity of the microstructure of ... [more ▼]

The increasing use of composite materials in the technological industry (automotive, aerospace, ...) requires the development of effective models that account for the complexity of the microstructure of these materials and the nonlinear behaviour they can exhibit. In this paper we develop a multiscale computational homogenization method for modelling nonlinear multiscale materials in magnetostatics based on the finite element method. The method solves the macroscale problem by getting data from certain microscale problems around some points of interest. The missing nonlinear constitutive law at the macroscale level is derived through an upscaling from the microscale solutions. The downscaling step consists in imposing a source term and determining proper boundary conditions for microscale problems from the macroscale solution. For a two-dimensional geometry, results are validated by comparison with those obtained with a classical brute force finite element approach and a classical homogenization technique. The method provides a good overall macroscale response and more accurate local data around points of interest. [less ▲]

Detailed reference viewed: 139 (33 ULg)
Full Text
Peer Reviewed
See detailA Primal/Dual Approach for the Accurate Evaluation of the Electromechanical Coupling in MEMS
Rochus, V.; Geuzaine, Christophe ULg

in Finite Elements in Analysis & Design (2012), 49(1), 19-27

Detailed reference viewed: 20 (10 ULg)
Full Text
Peer Reviewed
See detailA Quasi-Optimal Non-Overlapping Domain Decomposition Algorithm for the Helmholtz Equation
Boubendir, Y.; Antoine, X.; Geuzaine, Christophe ULg

in Journal of Computational Physics (2012), 231(2), 262-280

Detailed reference viewed: 32 (6 ULg)
Full Text
Peer Reviewed
See detailEfficient evaluation of the geometrical validity of curvilinear finite elements
Johnen, Amaury ULg; Remacle, Jean-François; Geuzaine, Christophe ULg

Conference (2011, November 14)

The development of high-order numerical techniques on unstructured grids has been underway for many years. The accuracy of these methods strongly depends of the accuracy of the geometrical discretization ... [more ▼]

The development of high-order numerical techniques on unstructured grids has been underway for many years. The accuracy of these methods strongly depends of the accuracy of the geometrical discretization, and thus depends on the availability of quality curvilinear meshes. The usual way of building such curvilinear meshes is to first generate a straight sided mesh. Then, mesh entities that are classified on the curved boundaries of the domain are curved accordingly. Some internal mesh entities may be curved as well. If we assume that the straight sided mesh is composed of well shaped elements, curving elements introduces a kind of "shape distortion" that should be controlled so that the final curvilinear mesh is also composed of well shaped elements. In this work we propose a method to analyze curvilinear meshes in terms of their elementary jacobians. The method does not deal with the actual generation of the high order mesh. Instead, it provides an efficient way to guarantee that a curvilinear element is geometrically valid, i.e., that its jacobian is strictly positive in all its reference domain. It also provides a way to measure the distortion of the curvilinear element. The key feature of the method is to adaptively expand the elementary jacobians in a polynomial basis, built using Bézier functions, that has both properties of boundedness and positivity. The algorithm has been implemented in the open-source mesh generator Gmsh, and allows to control the geometrical validity of curvilinear meshes made of triangles, quadrangles, tetrahedra, hexahedra and prisms of any order. [less ▲]

Detailed reference viewed: 45 (16 ULg)
Full Text
Peer Reviewed
See detailVectorial Incremental Nonconservative Consistent Hysteresis model
François-Lavet, Vincent ULg; Henrotte, François; Stainier, Laurent ULg et al

in Hogge, Michel; Van Keer, Roger; Malengier, Benny (Eds.) et al Proceedings of the 5th International Conference on Advanded COmputational Methods in Engineering (ACOMEN2011) (2011, November)

This paper proposes a macroscopic model for ferromagnetic hysteresis that is well-suited for finite element implementation. The model is readily vectorial and relies on a consistent thermodynamic ... [more ▼]

This paper proposes a macroscopic model for ferromagnetic hysteresis that is well-suited for finite element implementation. The model is readily vectorial and relies on a consistent thermodynamic formulation. In particular, the stored magnetic energy and the dissipated energy are known at all times, and not solely after the completion of closed hysteresis loops as is usually the case. The obtained incremental formulation is variationally consistent, i.e., all internal variables follow from the minimization of a thermodynamic potential. [less ▲]

Detailed reference viewed: 103 (14 ULg)
See detailPartial Differential Equations and Meshing
Geuzaine, Christophe ULg

Scientific conference (2011, November)

Detailed reference viewed: 27 (2 ULg)
See detailProceedings of the 5th International Conference on Advanded COmputational Methods in Engineering (ACOMEN2011)
Hogge, Michel ULg; Van Keer, Roger; Dick, Erik et al

Book published by Université de Liège - Dépôt légal: D/2011/0480/31 (2011)

Detailed reference viewed: 53 (7 ULg)
Peer Reviewed
See detailMesh influence on cardiovascular simulations
Sauvage, E.; Marchandise, E.; Remacle, J.-F. et al

in Proceedings of the 5th international conference on Advanced COmputational Methods in ENgineering (ACOMEN 2011) (2011, November)

Detailed reference viewed: 14 (1 ULg)
Peer Reviewed
See detailDiscontinuous Galerkin method for computing vectorials fields in superconductors
Kameni, A.; Boukebeur, F.; Bouillault, F. et al

in Proceedings of the 5th international conference on Advanced COmputational Methods in ENgineering (ACOMEN 2011) (2011, November)

Detailed reference viewed: 16 (0 ULg)
Full Text
Peer Reviewed
See detailImposing periodic boundary condition on arbitrary meshes by polynomial interpolation
Nguyen, Van Dung ULg; Béchet, Eric ULg; Geuzaine, Christophe ULg et al

in Hogge, Michel; Van Keer, Roger; Dick, Erik (Eds.) et al Proceedings of the 5th International Conference on Advanded COmputational Methods in Engineering (ACOMEN2011) (2011, November)

In order to predict the effective properties of heterogeneous materials using the finite element approach, a boundary value problem (BVP) may be defined on a representative volume element (RVE) with ... [more ▼]

In order to predict the effective properties of heterogeneous materials using the finite element approach, a boundary value problem (BVP) may be defined on a representative volume element (RVE) with appropriate boundary conditions, among which periodic boundary condition is the most efficient in terms of convergence rate. The classical method to impose the periodic boundary condition requires identical meshes on opposite RVE boundaries. This condition is not always easy to satisfy for arbitrary meshes. This work develops a new method based on polynomial interpolation that avoids the need of the identical mesh condition on opposite RVE boundaries. [less ▲]

Detailed reference viewed: 129 (62 ULg)
Peer Reviewed
See detailRobust generation of curvilinear hybrid meshes for CFD
Gorissen, B.; Remacle, J.-F.; Hillewaert, K. et al

in Proceedings of the 5th international conference on Advanced COmputational Methods in ENgineering (ACOMEN 2011) (2011, November)

Detailed reference viewed: 19 (0 ULg)